2 papers
math.NA2026
Efficient Nehari manifold optimization algorithms for computing ground state solutions of nonlinear elliptic systems
Zhaoxing Chen, Wei Liu, Ziqing Xie +1
This paper presents a class of efficient manifold optimization algorithms for computing the ground state solutions of a semilinear elliptic system, which are unstable saddle points…
math.NA2024
BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization
Guozhi Dong, Zikang Gong, Ziqing Xie +1
We propose novel algorithms combining accelerated gradient flows with linearized projection-free treatments of non-convex constraints and BDF pseudo-temporal discretization for qua…